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Finding the Third Proportional to 73,520 and 161,043

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Solution

The third proportional to 73,520 and 161,043 is: 352,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,520 : 161,043 = 161,043 : x
  2. Step 2: Convert to fraction form
    73,520/161,043 = 161,043/x
  3. Step 3: Cross multiply
    73,520x = 161,043 × 161,043
  4. Step 4: Simplify right side
    73,520x = 25,934,847,849
  5. Step 5: Solve for x
    x = 25,934,847,849/73,520
  6. Step 6: Final answer
    x = 352,759.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.